Birla Institute of Technology and Science, Pilani and Elite School of Optometry

Mathematics I Course Schedule: Jan – May 2013
Birla Institute of Technology and Science, Pilani
and
Elite School of Optometry
(Unit of Medical Research Foundation, Chennai)
B S OPTOMETRY
First Year - Second Semester – Academic Year (2012 – 2013)
COURSE HANDOUT (PART - I)
COURSE NO.
: OPTO ZC121
COURSE TITLE
: MATHEMATICS I
INSTRUCTOR IN CHARGE
: Prof. S.Veeraraghavan
SCOPE AND OBJECTIVE: Mathematics is the Queen of all Sciences. There is no subject which
does not need the use and help of Mathematics for its development. Knowledge of Mathematics helps
one to understand other subjects and appreciate their intricacies. Specially for students of Optometry,
knowledge of Mathematics is a must to understand the principles in “OPTICS”. Hence Mathematics is an
integral part of their curriculum. The course in Mathematics aims at acquainting the students with three
important brances – Trignometry, Algebra and Calculus. The emphasis will be on the basics and allied
simple problems and not on imparting any skill in solving difficult and complicated problems
2. TEXT BOOKS
:
T1. Dr. M.K. VENKATARAMAN : Engineering Mathematics, Vol. I & II, Publisher:
The National Publishing Company, Chennai.
T2. THOMAS & FINNEY; Calculus, IX Edition, Publisher: Pearson Education
REFERENCE BOOKS :
R1. W. N. ROSE : Mathematics for Engineers - Chapman & Hall Ltd., London.
R2. T.C. KARUPPANNAN : Mathematics for Technical Students - Macmillan.
R3. T.K. MANICKAVACHAGAM :Calculus Part I & Part II -- S.Viswanathan & Co. Chennai.
R4: S NARAYANAN
: Vector Algebera – S Viswanathan & Co; Chennai
R5 M L KHANNA
: Modern Algebra – Chand & Company
1. COURSE PLAN : Total number of lectures : 34
S No
1
2
Topics
Trigonometry & Complex Numbers
1.1 Trigonometric Functions and important deductions
Ref. to Text Books
Hrs
T1, Vol.I
2
1.2 Complex numbers and applications
Trigonometry - chapters
4
1.3 Expansion of sin cos and tan in terms of 
.
Algebra
2.1 Combinations; Binomial theorem for any index
I to III
4
T1, Vol, I
Algebra - chapter II
4
Mathematics I Course Schedule: Jan – May 2013
3
Linear Algebra
3.1 Definition of scalars, vectors and matrices.
3.2 Addition and subtraction of vectors and matrices; vector
norm and matrix determinants.
3.3 Dot and cross products; angle between vectors.
3.4 Multiplication of two matrices.
3.5 Inverse of matrices; solution of simultaneous linear
equations using matrices.
3.6 Concepts of groups, rings and vector spaces.
4
3.7 Definition of linearity and applications
Differential Calculus
4.1 Limits & Continuity
4.2 Definition of a derivative
R 4 Chap. I
1
1
R4, Chap. II
2
T1, Vol. 2
Chapters 1 & II
1
1
R5, Chapters
I, III, IV
2
2
T2, Chapters I
1
T2, Chapters II
1
4.3 Rules of differentiation
1
4.4 Derivatives of trigonometric functions
1
4.5 Chain rule and Implicit Differentiation
1
T1, Vol1 Calculus Chap. III
4.6 Successive differentiation and
Leibnitz’s theorem
T1, Vol.1,Calculus Ch. IV
4.7 Tangents and Normals
T1, Vol1, Calculus, Cha. V
4.8 Related rates of change, errors and
approximations
T1, Vol1, Calculus, Cha. V
4.9 Velocity and accederation
T2 Calculus - Chapter III
T1, Vol 1, Calculus Cha. ViIII
4.10 Maxima & Minima
2
2
2
2
4.11 Curvature
EVALUATION SCHEDULE :Component
Duration
EC – I, II and III
Comprehensive
Examination
1 Hour
Written
60
3 Hours
Written
40
INSTRUCTOR IN CHARGE
3
Date & Time
Max. Marks
Remarks
Mathematics I Course Schedule: Jan – May 2013